To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{40\sqrt{63}}{8\sqrt{9}} \)
\( \frac{40}{8} \) \( \sqrt{\frac{63}{9}} \)
5 \( \sqrt{7} \)

First, solve for \( \left|a - 7\right| \):

\( \left|a - 7\right| \) - 2 = -1
\( \left|a - 7\right| \) = -1 + 2
\( \left|a - 7\right| \) = 1

The value inside the absolute value brackets can be either positive or negative so (a - 7) must equal + 1 or -1 for \( \left|a - 7\right| \) to equal 1:

So, a = 6 or a = 8.

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{7z^6}{5z^4} \)
\( \frac{7}{5} \) z^{(6 - 4)}
1\(\frac{2}{5}\)z²

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $700
i = 0.02 x $700
i = $14

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{53}{12} \) = 4\(\frac{5}{12}\)

So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.